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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

A new variable step-size hybrid block method for the numerical solution of ordinary differential equations

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pp. 987–1000Vol. 29Issue 4April 2026DOI: 10.47974/JIM-2412XML
Received:
01 Nov 2025
Published Online:
09 Apr 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2412
Pages:
987–1000

Abstract

This paper introduced a new variable step-size hybrid block scheme for the numerical solution of ordinary differential equations (ODEs). Some classes of differential equations encounter reduced accuracy or stability issues when fixed step-size methods are used. The proposed approach introduces a scaling factor that changes the step size as the numerical iteration progresses. Stability properties of the proposed scheme are also analyzed. The method is discovered to be zero stable, A-stable, and convergent, which serves as a good alternate approach for solving ODEs.

Keywords

Subject Classifications

65L0565L0665L20

References

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